PSLE
A fruit stall sold limes at 70¢ and oranges at 40¢ each. Sarah bought some limes and Fiona bought some oranges from the stall. Sarah spent $0.90 more than Fiona, but had 6 fruits fewer than Fiona.

1. How many limes did Sarah buy?
2. How much did Fiona spend on the oranges?

	Limes	Oranges
Number	1 u	1 u + 6
Value	0.7	0.4
Total value	0.7 u	0.4 u + 2.4

(a)
Number of limes that Sarah bought = 1 u
Number of oranges that Fiona bought = 1 u + 6

Amount that Sarah paid = 0.7 x 1 u = 0.7 u
Amount that Fiona paid = 0.4(1 u + 6) = 0.4 u + 2.4

If Fiona spent another $0.90, both Fiona and Sarah would spend the same amount.

0.7 u = 0.4 u + 2.4 + 0.9
0.7 u - 0.4 u = 2.4 + 0.9
0.3 u = 3.3

1 u = 3.3 ÷ 0.3 = 11

Number of limes that Sarah bought
= 1 u
= 11

(b)
Amount that Fiona spent on the oranges
= 0.4 u + 2.4
= 0.4 x 11 + 2.4
= 4.4 + 2.4
= $6.80

Answer(s): (a) 11; (b) $6.80